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The paper "Aspects of Food Finding by Wintering Bald Eagles" (The Auk [1983]: 477-484) examined the relationship between the time that eagles spend aerially searching for food (indicated by the percentage of eagles soaring) and relative food availability. The accompanying data were taken from a scatterplot that appeared in this paper. Use x to denote salmon availability and y to denote the percentage of eagles in the air.

2455_Aspects of Food Finding by Wintering Bald Eagles.png

a. Draw a scatterplot for this data set. Would you describe the pattern in the plot as linear or curved?

b. One possible transformation that might lead to a straighter plot involves taking the square root of both the x and y values. Explain why this might be a reasonable transformation.

c. Construct a scatterplot using the variables x and y. Is this scatterplot more nearly linear than the scatterplot in Part (a)?

d. Suggest another transformation that might be used to straighten the original plot.

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